document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850818>Question 850818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Based on his past baseball history, Kurt has a (n) 15% chance of reaching first base safely, a (n) 7% chance of hitting a double, a (n) 5% chance of hitting a triple. a (n) 5% chance of hitting a home run, and a (n) 68% chance of making an out at his next at bat.\r<BR>\n" );
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document.write( "Determine Kurt's expected number of bases for his next at bat.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512449 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15% change of reaching first.<BR>\n" );
document.write( "7% chance of hitting a double.<BR>\n" );
document.write( "5% chance of hitting a triple.<BR>\n" );
document.write( "5% chance of hitting a home run.<BR>\n" );
document.write( "68% chance of making an out.\r<BR>\n" );
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document.write( "his expected number of bases would be:\r<BR>\n" );
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document.write( ".15*1 + .07*2 + .05*3 + .04*4 + .68*0 which is equal to .64.\r<BR>\n" );
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document.write( "his expected number of bases the next time at bat are .64.\r<BR>\n" );
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document.write( "what does this mean?\r<BR>\n" );
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document.write( "assume he bats 1000 times.\r<BR>\n" );
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document.write( "he would be expected to reach a total of .64 * 1000 = 640 bases.\r<BR>\n" );
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document.write( "out of the 1000 times at bat, he would:\r<BR>\n" );
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document.write( "reach 1st 15% of the time = .15 * 1000 = 150 * 1 base = 150 total bases.<BR>\n" );
document.write( "reach 2d 7% of the time = .07 * 1000 = 70 * 2 bases = 140 total bases.<BR>\n" );
document.write( "reach 3d 5% of the time = .05 * 1000 = 50 * 3 bases = 150 total bases.<BR>\n" );
document.write( "reach 4th (home plate) 5% of the time = .05 * 1000 = 50 * 4 bases = 200 total bases.\r<BR>\n" );
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document.write( "add them up and he would have reached 640 total bases after 1000 times at bat.<BR>\n" );
document.write( "his average per at bat would be 640 / 1000 = .64.\r<BR>\n" );
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